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1. Differentiating imaginary numbers
Is it possible to differentiate ?
I can't work out what I would do with to get it to differentiate. Any help?
2. Re: Differentiating imaginary numbers
i is a constant.
3. Re: Differentiating imaginary numbers
dont think you can, as minus square roots can't be changed into an indices? I think :P
4. Re: Differentiating imaginary numbers
It's a constant?
5. Re: Differentiating imaginary numbers
So far I have got that

so now I need to differentiate in respects to right?
Last edited by Occams Chainsaw; 26-09-2012 at 18:34.
6. Re: Differentiating imaginary numbers
as Slumpy said, i is a constant. However functions of complex variables can be differentiated. This is done by differentiation the real and imaginary parts seperately and using the Cauchy Riemann equations, see: http://en.wikipedia.org/wiki/Cauchy%...mann_equations (its unlikely that page will be understandable if you havent taken at least undergrad real analysis, but you can google for 'complex differentiation' and try to find something more elementary)
7. Re: Differentiating imaginary numbers
(Original post by Occams Chainsaw)
So far I have got that
Does make sense?

You can differentiate complex variables though.

Etc.... http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf
8. Re: Differentiating imaginary numbers
for example : http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf (although this still presupposes a basic background in analysis)
9. Re: Differentiating imaginary numbers
(Original post by poohat)
as Slumpy said, i is a constant. However functions of complex variables can be differentiated. This is done by differentiation the real and imaginary parts seperately and using the Cauchy Riemann equations, see: http://en.wikipedia.org/wiki/Cauchy%...mann_equations (its unlikely that page will be understandable if you havent taken at least undergrad real analysis, but you can google for 'complex differentiation' and try to find something more elementary)
Thanks
10. Re: Differentiating imaginary numbers
(Original post by bananarama2)
Does make sense?

You can differentiate complex variables though.

Etc.... http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf

(Original post by poohat)
for example : http://www.ams.org/bookstore/pspdf/mbk-49-prev.pdf (although this still presupposes a basic background in analysis)

Snap
11. Re: Differentiating imaginary numbers
(Original post by Occams Chainsaw)
So far I have got that

so now I need to differentiate in respects to right?
Ignoring the fact I already told you i is a constant, what are you trying to do here? You've gone from the definition of i to a chain rule version of dy/dx, without having defined a y or x. Then your next line is a bit weird.
12. Re: Differentiating imaginary numbers
(Original post by Slumpy)
Ignoring the fact I already told you i is a constant, what are you trying to do here? You've gone from the definition of i to a chain rule version of dy/dx, without having defined a y or x. Then your next line is a bit weird.

I have just started c1 maths in college but I have been playing around with further maths and certain constants such as i and e and I guess my lack of understanding showed there Thanks for your help anyway.
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